On the extreme points of quantum channels
Mathematical Physics
2014-10-30 v3 math.MP
Quantum Physics
Abstract
Let L(m,n) denote the convex set of completely positive trace preserving operators from C^{m x m} to C^{n x n}$, i.e quantum channels. We give a necessary condition for L in L(m,n) to be an extreme point. We show that generically, this condition is also sufficient. We characterize completely the extreme points of L_(2,2) and L(3,2), i.e. quantum channels from qubits to qubits and from qutrits to qubits.
Keywords
Cite
@article{arxiv.1309.5898,
title = {On the extreme points of quantum channels},
author = {Shmuel Friedland and Raphael Loewy},
journal= {arXiv preprint arXiv:1309.5898},
year = {2014}
}
Comments
Slightly revised version, 19 pages